Determinants and Inverses of Symmetric Poeplitz and Qoeplitz Matrix#
Jinyu Chen *
School of Information Science and Engineering, University of Jinan, Jinan 250014, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we define symmetric Poeplitz and Qoeplitz matrices and give explicit formulae for the determinants and inverses of these matrices by constructing the transformation matrices.
Keywords: Symmetric Poeplitz matrix, symmetric Qoeplitz matrix, Pell sequence, Pell-Lucas sequence, persymmetric Hankel matrix, determinant, inverse